The distance that it travels up is 31.12 m. The time taken for the round trip up and down is 5 seconds.
We can use the formula;
v^2 = u^2 + 2gh
Since the motion is upwards that the acceleration due to gravity has a negative sign so, v^2 = u^2 - 2gh.
Note that, at the maximum height, v =0 m/s so,
u^2 = 2gh
u = 24.7 m/s
g = 9.8 m/s^2
h = u^2/2g
h = ( 24.7 m/s)^2/2 × 9.8 m/s^2
h = 31.12 m
From;
v = u - gt
Since v = 0 at maximum height;
u = gt
t = u/g
t = 24.7 m/s/9.8 m/s^2
t = 2.5
The time taken to go up is the same time taken to come down;
t = 2 × 2.5 = 5 secs
Learn more: https://brainly.com/question/4612545
